Least Common Multiple of 362/68, 650/18, 724/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/68, 650/18, 724/121 quickly i.e. 235300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/68, 650/18, 724/121 is 235300.

LCM(362/68, 650/18, 724/121) = 235300

LCM of 362/68, 650/18, 724/121

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 362/68,650/18,724/121

Given numbers are 362/68,650/18,724/121

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 362,650,724

Least Common Multiple of Numerators i.e. LCM of 362,650,724 is 235300.

GCF of Denominators means GCF of 68,18,121 as per the given fractions.

GCF of 68,18,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,650,724

LCM of Fractions 362/68,650/18,724/121 is 235300

2 362, 650, 724
181 181, 325, 362
1, 325, 2

∴ So the LCM of the given numbers is 2 x 181 x 1 x 325 x 2 = 235300

Least Common Multiple of 362,650,724 with GCF Formula

Least Common Multiple of 362,650,724 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 362,650,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,650,724) = 2

common factors(in case of two or more numbers have common factors) = 362

GCF(362,650,724) x common factors =2 x 362 = 724

LCM(362,650,724) = ( 362 × 650 × 724 ) / 724

LCM(362,650,724) = 170357200 / 724

LCM(362,650,724) = 235300


Lets's calculate GCF of 68,18,121

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235300/1

Therefore the LCM of Fractions 362/68,650/18,724/121 is 235300

Greatest Common Factor of 68,18,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,18,121 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 68,18,121 . The biggest common factor number is the GCF number.
So the greatest common factor 68,18,121 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 362/68, 650/18, 724/121

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 362/68, 650/18, 724/121?

Answer: LCM of Numerators as per given numbers 362/68, 650/18, 724/121 is

LCM of Numerators i.e. for 362,650,724 is 235300

GCF of denominators i.e. for 68,18,121 is 1.

Thus, LCM of Fractions is 235300.Finally, LCM of Fractions for 362/68, 650/18, 724/121 is 235300.